IP--Triangles...All Triangle Notes

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on side lengths?

Back

1. Equilateral: All sides are equal. 2. Isosceles: Two sides are equal. 3. Scalene: All sides are different.

Front

What are the types of triangles based on angles?

Back

1. Acute: All angles are less than 90 degrees. 2. Right: One angle is exactly 90 degrees. 3. Obtuse: One angle is greater than 90 degrees.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

How do you find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length and the angles opposite those sides are equal.

Front

Can a triangle be both isosceles and right?

Back

Yes, a triangle can be both isosceles and right if it has two equal sides and one right angle.

Front

What is a scalene triangle?

Back

A scalene triangle has all sides of different lengths and all angles of different measures.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.